In: Statistics and Probability
In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000.
a) State the random variable. rv X = the fat consumption of a randomly selected male in the US between the ages of 40 and 49 Correct
b) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 98.04 g or grams or more.
c) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 113.14 g or grams or less.
d) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption between 98.04 and 113.14 g or grams.
e) Find the probability that randomly selected male in the US between the ages of 40 and 49 has a fat consumption that is at least 118.22 g or grams.
f) Is a fat consumption of 118.22 g or grams unusually high for a randomly selected male in the US between the ages of 40 and 49? Why or why not?
g) What fat consumption do 40% of all males in the US between the ages of 40 and 49 have less than? Round your answer to two decimal places in the first box. Put the correct units in the second box.